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Moonshine (Q289945)

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Language	Label	Description	Also known as
English	Moonshine	scientific article

Statements

scholarly article

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Moonshine (English)

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zbMATH Open document ID

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10.1186/s40687-015-0029-6

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John F. R. Duncan

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Michael J. Griffin

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Research in the Mathematical Sciences

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publication date

31 May 2016

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full work available at URL

https://arxiv.org/abs/1411.6571

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

monstrous moonshine

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Kloosterman sums

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monster orbifold

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modular functions

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MaRDI profile type

MaRDI publication profile

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On two fifth order mock theta functions

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On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras

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Monstrous moonshine from orbifolds

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Black hole in three-dimensional spacetime

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Construction of Automorphic Forms and Integrals

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Traces of singular values of Hauptmoduln

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On the elliptic genera of manifolds of Spin(7) holonomy

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Notes on elliptic curves. II.

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Vertex algebras, Kac-Moody algebras, and the Monster

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Generalized Kac-Moody algebras

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The monster Lie algebra

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Monstrous moonshine and monstrous Lie superalgebras

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Automorphic forms with singularities on Grassmannians

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Families of K3 surfaces

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Modular moonshine. II

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Homogeneous vector bundles

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Some Sphere Packings in Higher Space

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The \(f(q)\) mock theta function conjecture and partition ranks

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Coefficients of Harmonic Maass Forms

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Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms

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EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS

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Heegner divisors, \(L\)-functions and harmonic weak Maass forms

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On two geometric theta lifts

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The arithmetic of the values of modular functions and the divisors of modular forms

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Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole

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Effective conformal descriptions of black hole entropy

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Generalized moonshine. I: Genus-zero functions

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Generalized moonshine. II: Borcherds products

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Partition functions of three-dimensional pure gravity

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\(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)

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Modular invariance of characters of vertex operator algebras

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Infinite-dimensional Lie algebras, theta functions and modular forms

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Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula

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On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine

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On the Discrete Groups of Mathieu Moonshine

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Rademacher Sums and Rademacher Series

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Meromorphic Jacobi forms of half-integral index and umbral moonshine modules

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Umbral moonshine

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Umbral moonshine and the Niemeier lattices

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Weight one Jacobi forms and umbral moonshine

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A PERFECT GROUP OF ORDER 8,315,553,613,086,720,000 AND THE SPORADIC SIMPLE GROUPS

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A characterisation of Leech's lattice

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A Group of Order 8,315,553,613,086,720,000

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A simple construction for the Fischer-Griess monster group

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On the discrete groups of Moonshine

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Monstrous Moonshine

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The covering radius of the Leech lattice

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On the enumeration of lattices of determinant one

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Twenty-three constructions for the Leech lattice

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More on replicable functions

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Mathieu moonshine and the geometry of \(K3\) surfaces

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Modular equations and the genus zero property of moonshine functions

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Natural constructions of the Mathieu groups

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Genus two partition functions of chiral conformal field theories

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Elliptic genera of symmetric products and second quantized strings

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Beauty and the beast: Superconformal symmetry in a monster module

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Quantum dimensions and quantum Galois theory

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Twisted representations of vertex operator algebras

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Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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Nonabelian orbifolds and the boson-fermion correspondence

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On quantum Galois theory

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Quantum Galois theory for compact Lie groups

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Super-moonshine for Conway's largest sporadic group

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Proof of the umbral moonshine conjecture

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Gauge theory correlators from non-critical string theory

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THE MOONSHINE MODULE FOR CONWAY’S GROUP

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Derived equivalences of K3 surfaces and twined elliptic genera

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Super vertex algebras, meromorphic Jacobi forms and umbral moonshine

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Superconformal algebras and mock theta functions. II: Rademacher expansion for \(K3\) surface

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Notes on the K3 Surface and the Mathieu Group<i>M</i><sub>24</sub>

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The theory of Jacobi forms

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Fourier coefficients of the resolvent for a Fuchsian group.

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Basic representations of affine Lie algebras and dual resonance models

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A natural representation of the Fischer-Griess Monster with the modular function <i>J</i> as character

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Lie algebra homology and the Macdonald-Kac formulas

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Mathieu moonshine in the elliptic genus of K3

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Mathieu twining characters for \(K3\)

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Symmetries of \(K3\) sigma models

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Generalized Mathieu Moonshine

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Genus two partition functions of extremal conformal field theories

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MONSTROUS MOONSHINE: THE FIRST TWENTY-FIVE YEARS

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A construction of <i>F</i> <sub>1</sub> as automorphisms of a 196,883-dimensional algebra

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The friendly giant

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CONSISTENT BOUNDARY CONDITIONS FOR COSMOLOGICAL TOPOLOGICALLY MASSIVE GRAVITY AT THE CHIRAL POINT

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Holographic applications of logarithmic conformal field theories

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Quantum Galois theory for finite groups

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Moonshine in fivebrane spacetimes

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Introduction to Lie Algebras and Representation Theory

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On derived categories of K3 surfaces, symplectic automorphisms and the Conway group

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Rational generalised Moonshine from abelian orbifoldings of the Moonshine module

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Some irrational generalised Moonshine from orbifolds

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Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra

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Borcherds' proof of the Conway-Norton conjecture

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Realizations of the monster Lie algebra

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An elucidation of ''Infinite-dimensional algebras\dots and the very strange formula.'' \(E^{(1)}_8\) and the cube root of the modular invariant j

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On the Motivic Stable Pairs Invariants of K3 Surfaces

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Construction of a class of modular functions and forms. I, II

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Construction of Automorphic Forms on H-Groups and Supplementary Fourier Series

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On Abelian Integrals of the Second Kind and Modular Functions

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\(\lambda\)-rings and the representation theory of the symmetric group

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Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai

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The automorphism group of Leech lattice and elliptic modular functions

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Lie algebra cohomology and the generalized Borel-Weil theorem

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Elliptic curves and modular forms in algebraic topology. Proceedings of a conference held at the Institute for Advanced Study, Princeton, NJ, Sept. 15-17, 1986

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Notes on Sphere Packings

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The existence and uniqueness of a simple group generated by {3,4} - transpositions

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Introduction to vertex operator algebras and their representations

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Construction of the affine Lie algebra \(A^{(1)}_1\)

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Chiral gravity in three dimensions

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The large \(N\) limit of superconformal field theories and supergravity

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Quantum gravity partition functions in three dimensions

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A modern fareytail

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Elliptic genera and quantum field theory

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Lie algebras associated with generalized Cartan matrices

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Finite groups of automorphisms of K3 surfaces and the Mathieu group

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A class of nonanalytic automorphic functions

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Definite quadratische Formen der Dimension 24 und Diskriminante 1

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Classical and Umbral Moonshine: Connections and $p$-adic Properties

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Comments on \(M_{24}\) representations and \(CY_{3}\) geometries

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Über die Entwicklungskoeffizienten der automorphen Formen

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Modular Functions Arising from Some Finite Groups

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The Fourier Coefficients of the Modular Invariant J(τ)

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Generalized Kac-Moody algebras and some related topics

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Thompson's characterization of characters and sets of primes

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Unitary representations of some infinite dimensional groups

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The world as a hologram

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The overarching finite symmetry group of Kummer surfaces in the Mathieu group \(M_{24}\)

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A twist in the \(M_{24}\) moonshine story

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Symmetry-Surfing the Moduli Space of Kummer K3s

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Finite Groups and Modular Functions

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Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function

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On R. Griess' ''Friendly giant''

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On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module

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On the classification of integral even unimodular 24-dimensional quadratic forms

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Anti de Sitter space and holography

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Mathematics(1 entry)

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